Base | Representation |
---|---|
bin | 111011101010100… |
… | …011100000001100 |
3 | 2120202120122020100 |
4 | 323222203200030 |
5 | 4022224324322 |
6 | 243155051100 |
7 | 33543312015 |
oct | 7352434014 |
9 | 2522518210 |
10 | 1001011212 |
11 | 4740545a3 |
12 | 23b2a0a90 |
13 | 12c502536 |
14 | 96d3200c |
15 | 5cd30dac |
hex | 3baa380c |
1001011212 has 144 divisors (see below), whose sum is σ = 2712528000. Its totient is φ = 310722048.
The previous prime is 1001011211. The next prime is 1001011229. The reversal of 1001011212 is 2121101001.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 1001011194 and 1001011203.
It is not an unprimeable number, because it can be changed into a prime (1001011211) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4371114 + ... + 4371342.
It is an arithmetic number, because the mean of its divisors is an integer number (18837000).
Almost surely, 21001011212 is an apocalyptic number.
1001011212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1001011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356264000).
1001011212 is an abundant number, since it is smaller than the sum of its proper divisors (1711516788).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001011212 is a wasteful number, since it uses less digits than its factorization.
1001011212 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 400 (or 395 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
The square root of 1001011212 is about 31638.7612273300. The cubic root of 1001011212 is about 1000.3369571138.
Adding to 1001011212 its reverse (2121101001), we get a palindrome (3122112213).
The spelling of 1001011212 in words is "one billion, one million, eleven thousand, two hundred twelve".
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